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May 17, 2023 at 13:27 comment added El_mago Many thanks for adding further details and pointing out my mistake.
May 9, 2023 at 19:20 comment added Iosif Pinelis @El_mago : I have added further details on the use of the Tonelli theorem. (BTW, it is not a special case of the Fubini theorem -- because, in contrast with the Fubini theorem, the Tonelli theorem holds for all nonnegative measurable functions.)
May 9, 2023 at 19:17 history edited Iosif Pinelis CC BY-SA 4.0
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May 9, 2023 at 8:24 comment added El_mago Many thanks again for your explanation. I do not get, how Tonelli's theorem is used? I only know it as a special case of Fubini's theorem.
May 8, 2023 at 23:31 comment added Iosif Pinelis @El_mago : I have added details on this. Please let me know if further details are needed.
May 8, 2023 at 23:30 history edited Iosif Pinelis CC BY-SA 4.0
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May 8, 2023 at 22:06 comment added El_mago Thank you very much for the effort you have put into your answer. I really appreciate it. Your reasoning is clear and I understand the idea. The only thing I do not get is how you obtained (2) from Tonelli's theorem. In particular, what did happen to $g$?
May 8, 2023 at 18:27 history edited Iosif Pinelis CC BY-SA 4.0
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May 8, 2023 at 3:09 history edited Iosif Pinelis CC BY-SA 4.0
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May 7, 2023 at 20:23 history edited Iosif Pinelis CC BY-SA 4.0
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May 7, 2023 at 20:11 history edited Iosif Pinelis CC BY-SA 4.0
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May 7, 2023 at 20:06 history edited Iosif Pinelis CC BY-SA 4.0
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May 7, 2023 at 19:54 history answered Iosif Pinelis CC BY-SA 4.0